numRecipes
クラス SpecialFunctions

java.lang.Object
  |
  +--numRecipes.SpecialFunctions

すべての実装インタフェース:

Function

public class SpecialFunctions

extends java.lang.Object

implements Function

Utilities for Spectial Functions. Some of them are based on the Numerical Recipes Library

フィールドの概要

private static double	EPS
private static double	FPMIN
private static double[]	GAMMA_Coefficient
private static double	gaussTerm
private static int	ITMAX

コンストラクタの概要

SpecialFunctions()

メソッドの概要

static double	alogGamma(double xx) log(Gamma(a)) function
static double	gammaP(double a, double x) P(a x)= gamma(a,x)/Gamma(a) from 0 to x.
static double	gammaQ(double a, double x) Q(a x)= Gamma(a,x)/Gamma(a) from 0 to x.
static double	gauss(double mu, double sigma, double x) Gaussian function
double	getFunction(int functionIndex, double[] parameters, double x) Method for interface .
static double	incompleteGammaDowntoX(double a, double x) Gamma(a,x)/Gamma(a) from x to infinity
static double	incompleteGammaUptoX(double a, double x) gamma(a,x)/Gamma(a) from 0 to x
static double	integrateGauss(double mu, double sigma, double lowerBound, double upperBound) Integration of the Gaussian function.
static double	poisson(double mu, long m) Poisson distribution function

クラス java.lang.Object から継承したメソッド

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

フィールドの詳細

ITMAX

private static final int ITMAX

関連項目:

定数フィールド値

EPS

private static final double EPS

関連項目:

定数フィールド値

FPMIN

private static final double FPMIN

関連項目:

定数フィールド値

GAMMA_Coefficient

private static final double[] GAMMA_Coefficient

gaussTerm

private static final double gaussTerm

コンストラクタの詳細

SpecialFunctions

public SpecialFunctions()

メソッドの詳細

alogGamma

public static double alogGamma(double xx)

log(Gamma(a)) function

incompleteGammaUptoX

public static double incompleteGammaUptoX(double a,
                                          double x)

gamma(a,x)/Gamma(a) from 0 to x

incompleteGammaDowntoX

public static double incompleteGammaDowntoX(double a,
                                            double x)

Gamma(a,x)/Gamma(a) from x to infinity

gammaP

public static double gammaP(double a,
                            double x)

P(a x)= gamma(a,x)/Gamma(a) from 0 to x. Using imcompleteGamma methods described above saves iterations and CPU time.

gammaQ

public static double gammaQ(double a,
                            double x)

Q(a x)= Gamma(a,x)/Gamma(a) from 0 to x. Using imcompleteGamma methods described above saves iterations and CPU time.

gauss

public static double gauss(double mu,
                           double sigma,
                           double x)

Gaussian function

poisson

public static double poisson(double mu,
                             long m)

Poisson distribution function

getFunction

public double getFunction(int functionIndex,
                          double[] parameters,
                          double x)

         Method for interface  .
         Interface the special functions given here
         to the utility routiner such as the Romberg
         Integration code that is desinged for a genereal
         function in form of Func(x).
 
         FunctionIndex    1     Gaussian gauss(mu, sigma, double x)
                                parameters[0]=mu
                                parameters[1]=sigma 
        

定義:

インタフェース Function 内の getFunction

integrateGauss

public static double integrateGauss(double mu,
                                    double sigma,
                                    double lowerBound,
                                    double upperBound)

Integration of the Gaussian function. It uses the interface and the class written in Integration.java . Integration blacket [lowerBound upperBound]